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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 96600g
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 96600.f1 | 96600g1 | \([0, -1, 0, 4972, -225228]\) | \(2123487686960/4602781827\) | \(-29457803692800\) | \([]\) | \(174720\) | \(1.2687\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96600g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96600g do not have complex multiplication.Modular form 96600.2.a.g
sage: E.q_eigenform(10)